Where I live, at 45 degrees north latitude, I can find Orion at some point during the hours of darkness from late August early mornings to mid May late evenings.
Of course Orion will appear "upside down" in orientation to Southern Hemisphere observers.
Also, if you are looking for a rising or setting Orion, be advised that it will seem to be lying on its side.
A great way to get acquainted with various constellations and their times of visibility is to download or purchase software for the purpose. Some programs are freeware or shareware, and some cost a little or a lot. It depends on what you're after.
Here's a link to dozens of programs.
Astronomy Software: Freeware, Shareware, and Commercial Software
I have used CyberSky shareware; it's pretty good. If you don't mind paying (quite) a few bucks, I recommend highly the Starry Night software. I use the Pro version; it also comes in Beginner and Backyard versions. To me it's worth every dollar I paid for it.